The uniqueness in the de Rham-Wu decomposition

DOI10.1007/s12220-014-9531-0zbMath1335.53095arXiv1104.4165OpenAlexW2010815380MaRDI QIDQ253838

Zhiqi Chen

Publication date: 8 March 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4165

zbMATH Keywords

Lorentzian manifoldholonomy grouppseudo-Riemannian manifoldde Rham decomposition

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Issues of holonomy in differential geometry (53C29) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (2)

Compact Lorentzian holonomy ⋮ De Rham decomposition for Riemannian manifolds with boundary

Cites Work

• Representations admitting two pairs of supplementary invariant spaces
• Semi-Riemannian manifolds with a doubly warped structure
• On the holonomy of pseudo-Riemannian manifolds of signature \((2,2+n)\)
• On the classification of Lorentzian holonomy groups
• Holonomy groups of indefinite metrics
• The de Rham product decomposition
• On the de Rham decomposition theorem
• Sur la réductibilité d'un espace de Riemann
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
• METRICS THAT REALIZE ALL LORENTZIAN HOLONOMY ALGEBRAS
• Unique decomposition of Riemannian manifolds
• Sur l'holonomie des variétés pseudo-riemanniennes de signature $(n,n)$
• On the existence of infinite series of exotic holonomies
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